 # How do you find diameter from the circumference of a circle?

Diameter is defined as the line passing through the center of a circle having two extremes on the circumference of a circle. The Diameter of a circle divided the circle into two equal parts known as semi-circle. The center of a circle is the midpoint of its diameter. It divides the diameter into two equal parts, each of which is a radius of the circle. The radius is half the diameter.

### Formula

We can find the diameter of the circle if we know the circumference of the circle

We know that the circumference of a circle is given by

The Circumference (or) perimeter of a circle = 2πR

where,

R is the radius of the circle

π is the mathematical constant with an approximate (up to two decimal points) value of 3.14

Again,

Pi (π) is a special mathematical constant; it is the ratio of circumference to diameter of any circle.

where C = π D—-(i)

C is the circumference of the circle

D is the diameter of the circle

Hence from (i)

D= C /π